scholarly journals ON THE SMOOTHED PARAMETRIC ESTIMATION OF MIXING PROPORTION UNDER FIXED DESIGN REGRESSION MODEL

2019 ◽  
Vol 20 (1) ◽  
pp. 87-102
Author(s):  
Y. S. Ramakrishnaiah ◽  
Manish Trivedi ◽  
Konda Satish
Keyword(s):  
Regression Model ◽  
Parametric Estimation ◽  
Fixed Design ◽  
Mixing Proportion ◽  
Fixed Design Regression

scholarly journals Nonparametric estimate remarks

2006 ◽  
Vol 54 (3) ◽  
pp. 93-100 ◽  
Author(s):  
Jitka Poměnková
Keyword(s):  
Regression Model ◽  
Kernel Smoothing ◽  
Real Data ◽  
Linear Estimator ◽  
Data Sets ◽  
Nonparametric Estimate ◽  
Fixed Design ◽  
Local Linear Estimator ◽  
Kernel Smoothers ◽  
Fixed Design Regression

Kernel smoothers belong to the most popular nonparametric functional estimates. They provide a simple way of finding structure in data. The idea of the kernel smoothing can be applied to a simple fixed design regression model. This article is focused on kernel smoothing for fixed design regresion model with three types of estimators, the Gasser-Müller estimator, the Nadaraya-Watson estimator and the local linear estimator. At the end of this article figures for ilustration of desribed estimators on simulated and real data sets are shown.

scholarly journals The Gasser-Müller estimator

2004 ◽  
Vol 52 (3) ◽  
pp. 167-176 ◽  
Author(s):  
Jitka Poměnková
Keyword(s):  
Regression Model ◽  
Kernel Smoothing ◽  
Data Sets ◽  
Data Set ◽  
Random Design ◽  
Fixed Design ◽  
Fixed Design Regression

Kernel smoothing provides a simple way for finding structure in data. The idea of the kernel smoothing can be applied to a simple fixed design regression model and a random design regression model. This article is focused on kernel smoothing for fixed design regression model with using special type of estimator, the Gasser-Müller estimator, and on choice of the bandwidth. At the end of this article figures for ilustration described methods on two data sets are shown. The first data set contains simulated values of function sin(2πx), the second contains January average temperatures measured in Basel 1755–1855.

scholarly journals The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Xuejun Wang ◽  
Meimei Ge ◽  
Shuhe Hu ◽  
Xize Wang
Keyword(s):  
Regression Model ◽  
Strong Consistency ◽  
Nearest Neighbor ◽  
Type Inequality ◽  
Fixed Design ◽  
Rosenthal Type Inequality ◽  
Fixed Design Regression

We study the strong consistency of estimator of fixed design regression model under negatively dependent sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the strong consistency for the nearest neighbor estimator is obtained.

scholarly journals Fixed design regression for time series: Asymptotic normality

1992 ◽  
Vol 40 (2) ◽  
pp. 262-291 ◽  
Author(s):  
George G. Roussas ◽  
Lanh T. Tran ◽  
D.A. Ioannides
Keyword(s):  
Time Series ◽  
Asymptotic Normality ◽  
Fixed Design ◽  
Fixed Design Regression
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